The displacements of a 2D element is a structural component along the X and Y axses are as follows. u (x, y)=C1x^2+C2xy^2 , v(x,y)=C2xy^2 where C ij =1,2,3 are constants. For a valid compatibility solution, find the relations among the constants in terms of Poisson's ratios For Poisson's ratio=0 find the stresses

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter3: Transient Heat Conduction
Section: Chapter Questions
Problem 3.4P
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Q3
The displacements of a 2D element is a structural
component along the X and Y axses are as follows.
u (x, y)=Clx^2+C2xy^2, v(x,y)-C2xy^2
where C ij =1,2,3 are constants. For a valid compatibility
solution, find the relations among the constants in terms of
Poisson's ratios For Poisson's ratio-0, find the stresses.
Transcribed Image Text:Q3 The displacements of a 2D element is a structural component along the X and Y axses are as follows. u (x, y)=Clx^2+C2xy^2, v(x,y)-C2xy^2 where C ij =1,2,3 are constants. For a valid compatibility solution, find the relations among the constants in terms of Poisson's ratios For Poisson's ratio-0, find the stresses.
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